Properties

Label 8001.2.u
Level $8001$
Weight $2$
Character orbit 8001.u
Rep. character $\chi_{8001}(2647,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $640$
Sturm bound $2048$

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Defining parameters

Level: \( N \) \(=\) \( 8001 = 3^{2} \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8001.u (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 127 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(2048\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8001, [\chi])\).

Total New Old
Modular forms 2064 640 1424
Cusp forms 2032 640 1392
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(8001, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(8001, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8001, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(127, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(381, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(889, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1143, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2667, [\chi])\)\(^{\oplus 2}\)